s1333 — the lattice arrow
  K2_tau           {"tau2_minus_tau_minus_1_on_active": "<1e-10", "tau_on_inactive": "<1e-10", "tau_commutes_with_P": "<1e-10", "self_adjoint_on_active": "<1e-10", "P_symmetric_idempotent": "<1e-10"}
  K4_golden_line   {"gram_r0": [[2.0, 1.0], [1.0, 3.0]], "disc": 5.0, "h_z_z": "1", "all_17_equal": true}
  K5_lucas         {"norms_r0": [2.0, 3.0, 7.0, 18.0, 47.0, 123.0, 322.0], "L_2n": [2, 3, 7, 18, 47, 123, 322], "all_17_equal": true}
  K6_control_Wh    {"tauW2_minus_tauW_minus_1_on_active": "<1e-10", "tauW_self_adjoint_on_active": "2.00e+00", "gram_z_tauWz": [[2.0, 1.0], [1.0, 7.0]], "disc": 13.0}
  K3 (r0)          {"unit_vectors": 24, "orthonormal": "<1e-10", "in_active_sector": "<1e-10"} {"rank": 24, "gram_integral": "<1e-10", "det": 1, "odd": true, "frozen_vectors_are_lattice_vectors": "<1e-10"}
  receipt   PASS filed_d1414_house_frames_npz
  receipt   PASS filed_chatgpt_d1423_maps_npz
  receipt   PASS filed_s1333_frozen_unit_vectors_S392_npz
  computed  PASS K0_G_is_B1_O
  computed  PASS K1_G_and_tau_integral_on_all_17_lattices
  computed  PASS K2_tau_is_golden_on_active_zero_on_inactive_and_self_adjoint
  computed  PASS K3_active_sublattice_is_Z24_unimodular_odd_with_24_orthonormal_lattice_vectors_on_all_17
  computed  PASS K4_gram_of_z_tau_z_is_the_trace_form_of_Z_phi_on_all_17
  symbolic  PASS K4b_trace_form_of_Z_phi_entry_Tr_phi_squared_is_3
  computed  PASS K4c_golden_norm_of_z_is_1
  computed  PASS K5_charge_norms_along_the_golden_ladder_are_Lucas_L2n
  computed  PASS K6_CONTROL_W_h_is_golden_but_not_self_adjoint_and_gives_disc_13
  argument  ARG  theorem
  argument  ARG  correction
  argument  ARG  reading
VERDICT: the depth ring reaches the charge lattice — G² makes the active charge lattice (≅ ℤ²⁴) a free ℤ[φ]-module of rank 12 with a trace form; on the golden line through Z the charge form is exactly Tr(xy) (disc 5): λ² = Tr(1) = 2 and |φⁿZ|² = L₂ₙ. W_h is golden but not self-adjoint.
RESULT_HASH 44a3b091725058f5
s1333: 8 computed, 1 symbolic, 3 receipt, 3 argument, 0 failed
